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Learning with recurrent neural networks (RNNs) on long sequences is a notoriously difficult task. There are three major challenges: 1) complex dependencies, 2) vanishing and exploding gradients, and 3) efficient parallelization. In this…

Artificial Intelligence · Computer Science 2017-11-03 Shiyu Chang , Yang Zhang , Wei Han , Mo Yu , Xiaoxiao Guo , Wei Tan , Xiaodong Cui , Michael Witbrock , Mark Hasegawa-Johnson , Thomas S. Huang

Recurrent neural networks are a widely used class of neural architectures. They have, however, two shortcomings. First, it is difficult to understand what exactly they learn. Second, they tend to work poorly on sequences requiring long-term…

Machine Learning · Computer Science 2019-05-08 Cheng Wang , Mathias Niepert

Recurrent neural networks (RNN) are at the core of modern automatic speech recognition (ASR) systems. In particular, long-short term memory (LSTM) recurrent neural networks have achieved state-of-the-art results in many speech recognition…

Audio and Speech Processing · Electrical Eng. & Systems 2018-11-08 Titouan Parcollet , Mohamed Morchid , Georges Linarès , Renato De Mori

Deep convolutional neural networks (CNNs) have recently achieved great success for single image super-resolution (SISR) task due to their powerful feature representation capabilities. The most recent deep learning based SISR methods focus…

Image and Video Processing · Electrical Eng. & Systems 2020-09-11 Rao Muhammad Umer , Gian Luca Foresti , Christian Micheloni

Recurrent neural networks (RNNs) are widely used throughout neuroscience as models of local neural activity. Many properties of single RNNs are well characterized theoretically, but experimental neuroscience has moved in the direction of…

Machine Learning · Computer Science 2023-01-31 Leo Kozachkov , Michaela Ennis , Jean-Jacques Slotine

Linear recurrent neural networks (RNNs) and state-space models (SSMs) such as Mamba have become promising alternatives to softmax-attention as sequence mixing layers in Transformer architectures. Current models, however, do not exhibit the…

Machine Learning · Computer Science 2025-10-27 Sajad Movahedi , Felix Sarnthein , Nicola Muca Cirone , Antonio Orvieto

Linear recurrent neural networks (LRNNs) provide a structured approach to sequence modeling that bridges classical linear dynamical systems and modern deep learning, offering both expressive power and theoretical guarantees on stability and…

State-space models (SSMs) are a highly expressive model class for learning patterns in time series data and for system identification. Deterministic versions of SSMs (e.g. LSTMs) proved extremely successful in modeling complex time series…

Deep convolutional neural networks (CNNs) have brought breakthroughs in processing clinical electrocardiograms (ECGs), speaker-independent speech and complex images. However, typical CNNs require a fixed input size while it is common to…

Machine Learning · Computer Science 2022-10-07 Linpeng Jin

In deep learning, dense layer connectivity has become a key design principle in deep neural networks (DNNs), enabling efficient information flow and strong performance across a range of applications. In this work, we model densely connected…

Machine Learning · Computer Science 2025-10-03 Jinshu Huang , Haibin Su , Xue-Cheng Tai , Chunlin Wu

Neural architectures such as Recurrent Neural Networks (RNNs), Transformers, and State-Space Models have shown great success in handling sequential data by learning temporal dependencies. Decision Trees (DTs), on the other hand, remain a…

Machine Learning · Computer Science 2025-02-07 Sascha Marton , Moritz Schneider

Nowadays, neural network models achieve state-of-the-art results in many areas as computer vision or speech processing. For sequential data, especially for Natural Language Processing (NLP) tasks, Recurrent Neural Networks (RNNs) and their…

Computation and Language · Computer Science 2021-02-23 Elie Azeraf , Emmanuel Monfrini , Emmanuel Vignon , Wojciech Pieczynski

The computational properties of neural systems are often thought to be implemented in terms of their network dynamics. Hence, recovering the system dynamics from experimentally observed neuronal time series, like multiple single-unit (MSU)…

Neurons and Cognition · Quantitative Biology 2017-07-05 Daniel Durstewitz

Convolutional Neural Networks (CNN) have been regarded as a powerful class of models for image recognition problems. Nevertheless, it is not trivial when utilizing a CNN for learning spatio-temporal video representation. A few studies have…

Computer Vision and Pattern Recognition · Computer Science 2017-11-29 Zhaofan Qiu , Ting Yao , Tao Mei

State-of-the-art deep reading comprehension models are dominated by recurrent neural nets. Their sequential nature is a natural fit for language, but it also precludes parallelization within an instances and often becomes the bottleneck for…

Computation and Language · Computer Science 2017-11-15 Felix Wu , Ni Lao , John Blitzer , Guandao Yang , Kilian Weinberger

We introduce a neural network layer API and library for sequence modeling, designed for easy creation of sequence models that can be executed both layer-by-layer (e.g., teacher-forced training) and step-by-step (e.g., autoregressive…

Recurrent neural networks (RNNs) are omnipresent in sequence modeling tasks. Practical models usually consist of several layers of hundreds or thousands of neurons which are fully connected. This places a heavy computational and memory…

Machine Learning · Computer Science 2019-05-30 Matthijs Van Keirsbilck , Alexander Keller , Xiaodong Yang

Recently, studies on deep Reservoir Computing (RC) highlighted the role of layering in deep recurrent neural networks (RNNs). In this paper, the use of linear recurrent units allows us to bring more evidence on the intrinsic hierarchical…

Machine Learning · Computer Science 2017-07-11 Claudio Gallicchio , Alessio Micheli , Luca Pedrelli

Neural network models have been demonstrated to be capable of achieving remarkable performance in sentence and document modeling. Convolutional neural network (CNN) and recurrent neural network (RNN) are two mainstream architectures for…

Computation and Language · Computer Science 2015-12-01 Chunting Zhou , Chonglin Sun , Zhiyuan Liu , Francis C. M. Lau

Despite the promising performance of state space models (SSMs) in long sequence modeling, limitations still exist. Advanced SSMs like S5 and S6 (Mamba) in addressing non-uniform sampling, their recursive structures impede efficient SSM…

Machine Learning · Computer Science 2024-06-11 Biqing Qi , Junqi Gao , Kaiyan Zhang , Dong Li , Jianxing Liu , Ligang Wu , Bowen Zhou